Exam 14: Market Demand

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The constant elasticity of demand for cigarettes has been estimated to be 0.5. To reduce smoking by 25%, approximately how much tax needs to be added to a $1 pack?

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A

If the demand function for tickets to a play is q = 3,800 - 95p, at what price will total revenue be maximized?

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C

Rollo would love to have a Mercedes. His preferences for consumption in the next year are represented by a utility function U(x, y), where x = 0 if he has no Mercedes and x = 1 if he has a Mercedes for the year and where y is the amount of income he has left to spend on other stuff. If U(0, y) = the square root of y and U(1, y) = ( Rollo would love to have a Mercedes. His preferences for consumption in the next year are represented by a utility function U(x, y), where x = 0 if he has no Mercedes and x = 1 if he has a Mercedes for the year and where y is the amount of income he has left to spend on other stuff. If U(0, y) = the square root of y and U(1, y) = (   )(y<sup>.5</sup>) and if Rollo's income is $50,000 a year, how much would he be willing to pay per year to have a Mercedes? )(y.5) and if Rollo's income is $50,000 a year, how much would he be willing to pay per year to have a Mercedes?

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D

The demand curve for a good is given by p = 160 - 6q, where p is the price and q is the quantity of the good. Suppose that the number of consumers in the economy doubles; a "clone" of each consumer, who has exactly the same demand curve as the original consumer, appears. The demand curve for the doubled economy is described by

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In Ozone, California, people all have the same tastes and they all like hot tubs. Nobody wants more than one hot tub but a person with wealth $W will be willing to pay up to $.01W for a hot tub. The number of people with a wealth greater than $W for any given W in Ozone is approximately In Ozone, California, people all have the same tastes and they all like hot tubs. Nobody wants more than one hot tub but a person with wealth $W will be willing to pay up to $.01W for a hot tub. The number of people with a wealth greater than $W for any given W in Ozone is approximately   . The price elasticity of demand for hot tubs in Ozone, California, is . The price elasticity of demand for hot tubs in Ozone, California, is

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If the marginal cost of brewing beer is 40 cents and the profit-maximizing price is 90 cents, then the price elasticity of demand is

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Rod cares about the number of cars he has and the amount of money he has to spend on other stuff. The only possibilities of interest for Rod are having 0, 1, or 2 cars. Where x is the number of cars he has and y is the money he has per year for other stuff, Rod's utility is U(0, y) = y.5, U(1, y) = ( Rod cares about the number of cars he has and the amount of money he has to spend on other stuff. The only possibilities of interest for Rod are having 0, 1, or 2 cars. Where x is the number of cars he has and y is the money he has per year for other stuff, Rod's utility is U(0, y) = y<sup>.5</sup>, U(1, y) = (   )y<sup>.5</sup>, and U(2, y) = (   )y<sup>.5</sup>. Rod's income is $25,000 a year. It would cost Rod $2,500 a year to have 1 car and $3,500 a year to have 2 cars. How many cars will he choose? )y.5, and U(2, y) = ( Rod cares about the number of cars he has and the amount of money he has to spend on other stuff. The only possibilities of interest for Rod are having 0, 1, or 2 cars. Where x is the number of cars he has and y is the money he has per year for other stuff, Rod's utility is U(0, y) = y<sup>.5</sup>, U(1, y) = (   )y<sup>.5</sup>, and U(2, y) = (   )y<sup>.5</sup>. Rod's income is $25,000 a year. It would cost Rod $2,500 a year to have 1 car and $3,500 a year to have 2 cars. How many cars will he choose? )y.5. Rod's income is $25,000 a year. It would cost Rod $2,500 a year to have 1 car and $3,500 a year to have 2 cars. How many cars will he choose?

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The market demand curve is simply the horizontal sum of the individual demand curves.

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If the marginal cost of brewing beer is 40 cents and the profit-maximizing price is 90 cents, then the price elasticity of demand is

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Given his current income, Rico's demand for bagels is related to the price of bagels by the equation Q = 520 - 12P. Rico's income elasticity of demand for bagels is known to be equal to 0.5 at all prices and incomes. If Rico's income quadruples, his demand for bagels will be related to the price of bagels by the equation

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Demand for Barbara Streisand CDs is equal to Qs = P1.70sI2.20P1.80c, where Qs is the number of CDs, Ps is the price of a Streisand CD, I is per capita income, and Pc is the price of a Karen Carpenter CD. Streisand and Carpenter CDs

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In a certain city, the demand function for crack cocaine is q = 1,000 - p, where p is the street price. The cocaine industry is competitive. Cocaine distributors can buy as much cocaine as they wish at a price of $50 per unit from Colombian sources. Whenever the city narcotics police catch a cocaine dealer, they confiscate all the cocaine that he has. The jails are full so they do not imprison the dealers. The police are able to catch the dealers about half the time, so they get about half the cocaine that enters the city. Instead of destroying confiscated crack, the police simply resell it on the street. If the original supply curve of cocaine on the streets was horizontal, what is the net effect of police activities on the market for crack in this city?

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The only quantities of good 1 that Irene can buy are 1 unit or 0 units. For all positive values of x2, Irene's preferences are represented by the utility function (x1 + 10)(x2 + 2). If her income is $8 and the price of good 2 is $1, then Irene's reservation price for good 1 is

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The constant elasticity of demand for cigarettes has been estimated to be 0.5. To reduce smoking by 75%, approximately how much tax needs to be added to a $1 pack?

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If the demand curve is a linear function of price, then the price elasticity of demand is the same at all prices.

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If the elasticity of demand curve for barley is -1.50 at all prices higher than the current price, we would expect that when bad weather reduces the size of the barley crop, total revenue of barley producers will fall.

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Given his current income, Rico's demand for bagels is related to the price of bagels by the equation Q = 540 - 16P. Rico's income elasticity of demand for bagels is known to be equal to 0.5 at all prices and incomes. If Rico's income quadruples, his demand for bagels will be related to the price of bagels by the equation

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The demand for tickets to a rock concert is given by D(p) = 200,000 - 10,000p, where p is the price of tickets. If the price of tickets is $17, then the price elasticity of demand for tickets is

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In Gas Pump, South Dakota, every Buick owner's demand for gasoline is 20 - 5p for p less than or equal to 4 and 0 for p > 4. Every Dodge owner's demand is 15 - 3p for p less than or equal to 5 and 0 for p > 5. Suppose that Gas Pump has 100 Buick owners and 100 Dodge owners. If the price of gasoline is $4.50, what is the total amount of gasoline demanded in Gas Pump?

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If at current prices, the demand for a good is price-elastic, then for movements along the demand curve,

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